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Finding the Fourth Proportional to 478.56, 717.95 and 259.19

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Solution

The fourth proportional to 478.56, 717.95 and 259.19 is: 388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.56 : 717.95 = 259.19 : x
  2. Step 2: Convert to fraction form
    478.56/717.95 = 259.19/x
  3. Step 3: Cross multiply
    478.56x = 717.95 × 259.19
  4. Step 4: Simplify right side
    478.56x = 186,085.46
  5. Step 5: Solve for x
    x = 186,085.46/478.56
  6. Step 6: Final answer
    x = 388.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.